Multidimensional random motion with uniformly distributed changes of direction and Erlang steps

• Date: 2011
• Main Authors: Pogorui, A. О., Rodriguez-Dagnino, R. M., Погоруй, А. О., Родріжес-Дагніно, Р.М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2743
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In this paper we study transport processes in $\mathbb{R}^n,\quad n \geq 1$, having non-exponential distributed sojourn times or non-Markovian step durations. We use the idea that the probabilistic properties of a random vector are completely determined by those of its projection on a fixed line,...